Everything about Linear filter
Filter that has a linear response
Linear filters process time-varying input signals to produce output signals, subject to the constraint of linearity. In most cases these linear filters are also time invariant in which case they can be analyzed exactly using LTI system theory revealing their transfer functions in the frequency domain and their impulse responses in the time domain. Real-time implementations of such linear signal processing filters in the time domain are inevitably causal, an additional constraint on their transfer functions. An analog electronic circuit consisting only of linear components will necessarily fall in this category, as will comparable mechanical systems or digital signal processing systems containing only linear elements. Since linear time-invariant filters can be completely characterized by their response to sinusoids of different frequencies, they are sometimes known as frequency filters. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Linear filterA 5-minute orientation
- Skim a recent paper: Command Filter-Based Adaptive Fuzzy Finite-Time Output Feedback Control of Nonlinear Electrohydraulic Servo SystemInfluential work since 2022
- Pick up a classic book: Study of one- and two-dimensional filtering and deconvolution algorithms for a streaming array computerThe most-reprinted book on the subject
- Read the landmark paper: A New Approach to Linear Filtering and Prediction ProblemsCited 24,362 times
- Go sideways: Infinite impulse responseA closely related topic
- Go sideways: Digital filterA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
A New Approach to Linear Filtering and Prediction Problems
On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
New Results in Linear Filtering and Prediction Theory
A Quaternion Widely Linear Adaptive Filter
Linear Programming Algorithms for Sparse Filter Design
Two-sided linear filter identification
Linear periodic systems and multirate filter design
A Widely Linear Complex Unscented Kalman Filter
🆕 Influential since 2022
Command Filter-Based Adaptive Fuzzy Finite-Time Output Feedback Control of Nonlinear Electrohydraulic Servo System
Command Filter Adaptive Asymptotic Tracking of Uncertain Nonlinear Systems With Time-Varying Parameters and Disturbances
Command Filter-Based Predefined Time Adaptive Control for Nonlinear Systems
Kalman filter, particle filter, and extended state observer for linear state estimation under perturbation (or noise) of MHTGR
Enhanced FPGA linear phase FIR filter with amalgam multiplier
📚 Books worth reading
- 📕Study of one- and two-dimensional filtering and deconvolution algorithms for a streaming array computerGeorge E. Ioup · 1985
Linear systems and signalsB. P. Lathi · 1992
Analog Circuit DesignJohan H. Huijsing, Michiel Steyaert · 2007
Design of analog filtersRolf Schaumann, Mohammed Shuaib Ghausi · 1990
Analog circuit designWorkshop of Advances in Analogue Circuit Design (15th 2006 Maastricht, Netherlands) · 2005
Analog circuit designJohan H. Huijsing, Rudy J. van de Plassche · 1999
Filter design with time domain mask constraintsBa-Ngu Vo, Antonio Cantoni · 2001
Control theoryJ. R. Leigh · 1991
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Infinite impulse response Infinite impulse response (IIR) is a fundamental property applying to many linear time-invariant systems that are distinguished by having an impulse response…
- Digital filter In signal processing, a digital filter is a system that performs mathematical operations on a sampled, discrete-time signal to reduce or enhance certain…
- Filter design Filter design is the process of designing a signal processing filter that satisfies a set of requirements, some of which may be conflicting. The purpose…
- System analysis System analysis in the field of electrical engineering characterizes electrical systems and their properties. System analysis can be used to represent…
- Filter (signal processing) In signal processing, a filter is a device or process that removes some unwanted components or features from a signal. Filtering is a class of signal processing…
- Linear time-invariant system In system analysis, among other fields of study, a linear time-invariant (LTI) system is a system that produces an output signal from any input signal…
- FIR transfer function Transfer function filter utilizes the transfer function and the Convolution theorem to produce a filter. In this article, an example of such a filter using…
- Analog signal processing Analog signal processing is a type of signal processing conducted on continuous analog signals by some analog means (as opposed to the discrete digital…